Jump to content

White surface

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by R.e.b. (talk | contribs) at 05:39, 23 June 2009 (def). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In algebraic geometry a White surface is one of the rational surfaces in Pn studied by White (1923), generalizing cubic surfaces and Bordiga surfaces which are the cases n= 3 or 4.

A White surface in Pn is given by the embedding of P2 blown up in n(n+1)/2 points by the linear system of degree n curves through these points.

References

  • White, F. P. (1923), "On certain nets of plane curves", Proceedings of the Cambridge philosophical society, 22: 1–10